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Finding the Fourth Proportional to 2,929.54, 4,042.74 and 1,603.23

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Solution

The fourth proportional to 2,929.54, 4,042.74 and 1,603.23 is: 2,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.54 : 4,042.74 = 1,603.23 : x
  2. Step 2: Convert to fraction form
    2,929.54/4,042.74 = 1,603.23/x
  3. Step 3: Cross multiply
    2,929.54x = 4,042.74 × 1,603.23
  4. Step 4: Simplify right side
    2,929.54x = 6,481,436.43
  5. Step 5: Solve for x
    x = 6,481,436.43/2,929.54
  6. Step 6: Final answer
    x = 2,212.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.